Machine learningLogic and Reasoning
Automated Theorem Proving
Automated Theorem Proving (ATP) is a field of artificial intelligence and mathematical logic dedicated to mechanically proving mathematical theorems in formal systems. Developed by John Robinson in 1965 with the resolution principle, ATP underpins modern verification tools like SAT/SMT solvers and is foundational to formal software verification, hardware validation, and mathematics.
Open in MethodMindSoonVideoSoon
Read the full method
Members only
Sign inSign in with a free account to read this section.
Sources
- Robinson, J. A. (1965). A machine-oriented logic based on the resolution principle. Journal of the ACM, 12(1), 23–41. DOI: 10.1145/321250.321253 ↗
- Fitting, M. (1996). First-Order Logic and Automated Theorem Proving (2nd ed.). Springer. DOI: 10.1007/978-1-4612-2360-3 ↗
- Nieuwenhuis, R., Oliveras, A., & Tinelli, C. (2006). Solving SAT and SAT modulo theories: From an abstract Davis–Putnam–Logemann–Loveland procedure to DPLL(T). Journal of the ACM, 53(6), 937–977. DOI: 10.1145/1217856.1217859 ↗